Solutions to the Multi-Component 1/R Hubbard Model
D. F. Wang
TL;DR
This paper introduces a one-dimensional multi-component Hubbard model with 1/r hopping and analyzes its wavefunctions, spectrum, and thermodynamics in the strong interaction limit, revealing $SU(N)$ Luttinger liquid behavior.
Contribution
It presents a novel multi-component Hubbard model with 1/r hopping and explores its properties at infinite on-site interaction, highlighting spin-charge separation in this regime.
Findings
Model exhibits $SU(N)$ Luttinger liquid behavior at $U= abla ext{infty}$.
Wavefunctions and spectrum characterized in the strong interaction limit.
Discussion on potential properties at finite on-site energy.
Abstract
In this work we introduce one dimensional multi-component Hubbard model of 1/r hopping and U on-site energy. The wavefunctions, the spectrum and the thermodynamics are studied for this model in the strong interaction limit . In this limit, the system is a special example of Luttinger liquids, exhibiting spin-charge separation in the full Hilbert space. Speculations on the physical properties of the model at finite on-site energy are also discussed.
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